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Finding the Fourth Proportional to 1,432.71, 2,149.29 and 507.96

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Solution

The fourth proportional to 1,432.71, 2,149.29 and 507.96 is: 762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.71 : 2,149.29 = 507.96 : x
  2. Step 2: Convert to fraction form
    1,432.71/2,149.29 = 507.96/x
  3. Step 3: Cross multiply
    1,432.71x = 2,149.29 × 507.96
  4. Step 4: Simplify right side
    1,432.71x = 1,091,753.35
  5. Step 5: Solve for x
    x = 1,091,753.35/1,432.71
  6. Step 6: Final answer
    x = 762.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.